Question

Whats the value of x

Answer 1

`x=4\ units`

Explanation:

step 1

Find the length of JL

In the right triangle KLJ

`sin(30\°)=(JL)/(8√(2))`

`sin(30\°)=(1)/(2)`

so

`(1)/(2)=(JL)/(8√(2))`

`JL=4√(2)\ units`

step 2

Find the value of x

In the right triangle JLM

`sin(45\°)=(x)/(4√(2))`

`sin(45\°)=(√(2))/(2)`

so

`(√(2))/(2)=(x)/(4√(2))`

`x=4\ units`